5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
variable point with position vector 2(a - b). Show that the area of AABC is independent of 2. [2]​

Answer:

42-12

Step-by-step explanation:

Here you go mate

Step 1

6(7-2)  Equation

Step 2

6(7-2)  simplify

6x5

answer

42-12=30  check

Since X increases by 1,

Divide the 2nd Y value by the first Y value:

4/6 = 2/3

The answer is 2/3

Answer:

None of those answers is true.

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Answer:

3sf-0.421, 2sf- 42, 1sf-0004

Answer:

4210 4200 4000

Step-by-step explanation:

your welcome :)

Answer:

Step-by-step explanation:

Volume of rectangular prism is:

Answer:

The volume of this rectangular prism with dimensions 7/5cm, 5cm and 7/2cm.

Volume=length× breadth× height

V=7/5cm×5cm×7/2cm= 49/2cm³= 24.5cm³

Answer:

The plane goes 9.75 Miles/Minute

The plane goes 585 Miles/Hour

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8

Answer:

i think it is d) neither

Step-by-step explanation:

......

Answer:

[tex]-\frac{11}{9}[/tex] , OR [tex]-1\frac{2}{9}[/tex], OR -1.2

Step-by-step explanation:

[tex]-\frac{8}{9}+\frac{1}{5}+(-\frac{8}{15})[/tex]      When there is a (+) in front of an expression in parentheses, the expression remains the same

[tex]-\frac{8}{9}+\frac{1}{5}-\frac{8}{15}[/tex]  Calculate the sum or difference

[tex]-\frac{11}{9}[/tex]

Answer:

Im pretty sure the answer is maybe 90 degrees

Answer:

[tex]Cost\ Price = 4331.25[/tex]

Step-by-step explanation:

Given

Selling Price = Sh. 4950

Profit = 12.5%

Required

Determine the cost price

Profit is calculated as:

[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]

Substitute values for Selling Price and Profit

[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]

Cross Multiply:

[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]

[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]

[tex]618.75 = (4950 - Cost\ Price)[/tex]

Collect Like Terms

[tex]Cost\ Price = 4950 - 618.75[/tex]

[tex]Cost\ Price = 4331.25[/tex]

Hence, the cost price of the item is: Sh. 4331.25

Answer:

a. 0.57

b. 0.22

c. 0.87

d. 0.9450

Step-by-step explanation:

A.

P(X>=1)

= 0.35 + 0.15 + 0.06 + 0.01

= 0.57

This is the probability of catching one or more fishes.

b.

P(X>=2)

0.15 + 0.06 + 0.01

= 0.22

This is the probability of catching 2 or more fishes.

C.

Compute μ

μ = E(X)

= (0x0.43) + (1x0.35) + (2x0.15) + (3x0.06) + (4x0.01)

= 0+0.35+0.3+0.18+0.04

= 0.87

D.

The standard deviation

Sd = √V(X)

V(X) = E(X²) - (E(X))²

E(X²) = (0²x0.43)+(1²x0.35)+(2²*0.15)+(3²*0.06)+(4²*0.01)

E(X²) = 0.35+0.6+0.54+0.16

= 1.65

V(X) = 1.65 - (0.87)²

= 1.65 - 0.7569

= 0.8931

Sd = √0.8931

= 0.9450

Answer:

0.03 is 10 times as much as 0.003

Step-by-step explanation:

its the answer

Answer:

Step-by-step explanation:

= 19 R 15

= 19 15/17

338 divided by 17 equals

19 with a remainder of 15

Solution:

   0 1 9

1 7 {3 3 8

 − {0    

   3 3  

 − 1 7  

   1 6 8

 − 1 5 3

     1 5

⊂_ヽ

 ＼＼ ＿

    ＼(　•_•) F

   <　⌒ヽ A

 　/   へ＼ B

  /  /　＼＼ U

  ﾚ　ノ   ヽ_つ L

 /　/ O

 /　/| U

　(　(ヽ S

　|　|、＼

　| 丿 ＼ ⌒)

　| |  ) /

`ノ )  Lﾉ

Answer:

Step-by-step explanation:

Hey I can't read what's in the picture it's blurry

Answer:

According to the words used by the poet, they made the reader visualize a little village with a group of hardworking men. I know this because of the little details the poet used, like ‘washing their red hands’, or ‘easing their stiff limbs’, meaning that they are tired for an exhausting day of work. To sum it up, the poet gave the effect of a hard working, nostalgic effect.

Step-by-step explanation:

Answer:

zx ≅ ab

Step-by-step explanation:

took the test

Answer:

2

Step-by-step explanation:

(0.12)(0.04)

0.0024

=2

Answer:

Step-by-step explanation:

u+6 = - 5               Subtract 6

u + 6 - 6 = - 5 - 6

u = - 11

Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?

The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.

Given:

Time spend on every 2 questions = 5 minutes.

To find:

The missing values for the given table.

Solution:

Let x be the number of questions and y be the number of minutes.

We have,

Time spend on every 2 questions = 5 minutes

Time spend on 1 question = [tex]\dfrac{5}{2}=2.5[/tex] minutes

Time spend on x questions = [tex]2.5x[/tex] minutes

Now,

[tex]y=2.5x[/tex]

For x=0,

[tex]y=2.5(0)=0[/tex]

For x=1,

[tex]y=2.5(1)=2.5[/tex]

For x=2,

[tex]y=2.5(2)=5[/tex]

For x=3,

[tex]y=2.5(3)=7.5[/tex]

For x=4,

[tex]y=2.5(4)=10[/tex]

Therefore, the required table is

Questions        :           0                1                2               3                 4

Time (minutes) :           0             2.5              5              7.5              10

Answer:

5.625

Step-by-step explanation:

Answer:

dogs

Step-by-step explanation:

they are more freindly

Answer:

dogs

Step-by-step explanation:

i just had to take a test and one of the questions was to write an essay about dogs or cats being better so i searched it up and it said  dogs

Answer:

for every 1 hour he reads 65 pages

Step-by-step explanation:

make a graph

65,1

and you got up from there

rise over run

ok

Answer:

Pythagorean Theorem:

a² + b² = c²

x² + 5x² = 78²

6x² = 6084

6x²/6 = 6084/6

x²=1014

√x² = √1014

x = 31.84

Mark Brainliest Please

Answer:

x ≈ 15.3

Step-by-step explanation:

Based on the pythagoras theorem

[tex]a^{2} + b^{2} = c^{2}[/tex]

Since the legs are "5x" and "x" we know the following....

[tex](5x)^{2} + x^{2} = 78^{2} \\25x^{2} + x^{2} = 6084\\26x^{2} = 6084\\x^{2} = 234\\x = \sqrt{234} \\x = 15.3[/tex]

(This is round did to the nearest tenth)

Answer:

x = 17

Step-by-step explanation:

all three expressions should be added together and set equal to 180 degrees

6x - 15 + 2x - 2 + 4x - 7 = 180

now combine like terms

12x - 24 = 180

add 24

12x = 204

x = 204/12

x = 17

Answer:

$52.50

Step-by-step explanation:

$50+5%= $52.50

Hope this helps

Answer:

it's the last one

Step-by-step explanation:

Answer: m = 9.25h

Step-by-step explanation:

The money he earns per hour is $9.25

m = total money  h = hours he worked

m = 9.25h

Answer:

50

Step-by-step explanation:

48 rounds to 50

ANSWER: 50

Answer:

48.1

Step-by-step explanation:

5 and up, add 1

4 and down, don't change and the numbers after are gone.